Orthogonal polynomial approximation and extended dynamic mode decomposition in chaos

Cites Work

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Explicit upper bounds for the spectral distance of two trace class operators
Spectral structure of transfer operators for expanding circle maps
Lyapunov exponents for random perturbations of some area-preserving maps including the standard map
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A data-driven approximation of the koopman operator: extending dynamic mode decomposition
Spectral Galerkin methods for transfer operators in uniformly expanding dynamics
Limit theorems and Markov approximations for chaotic dynamical systems
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Theory of Reproducing Kernels
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Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness
Structure and \(f\)-dependence of the a.c.i.m. for a unimodal map \(f\) of Misiurewicz type
Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems
EDMD for expanding circle maps and their complex perturbations

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